-8-8(2n-3)=2(1-9n)+9n

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Solution for -8-8(2n-3)=2(1-9n)+9n equation: 


Simplifying
-8 + -8(2n + -3) = 2(1 + -9n) + 9n

Reorder the terms:
-8 + -8(-3 + 2n) = 2(1 + -9n) + 9n
-8 + (-3 * -8 + 2n * -8) = 2(1 + -9n) + 9n
-8 + (24 + -16n) = 2(1 + -9n) + 9n

Combine like terms: -8 + 24 = 16
16 + -16n = 2(1 + -9n) + 9n
16 + -16n = (1 * 2 + -9n * 2) + 9n
16 + -16n = (2 + -18n) + 9n

Combine like terms: -18n + 9n = -9n
16 + -16n = 2 + -9n

Solving
16 + -16n = 2 + -9n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '9n' to each side of the equation.
16 + -16n + 9n = 2 + -9n + 9n

Combine like terms: -16n + 9n = -7n
16 + -7n = 2 + -9n + 9n

Combine like terms: -9n + 9n = 0
16 + -7n = 2 + 0
16 + -7n = 2

Add '-16' to each side of the equation.
16 + -16 + -7n = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -7n = 2 + -16
-7n = 2 + -16

Combine like terms: 2 + -16 = -14
-7n = -14

Divide each side by '-7'.
n = 2

Simplifying
n = 2

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